Advances in mathematics research. Volume 19 / Albert R. Baswell, editor.

Format:

Book

Contributor:

Baswell, Albert R., editor.

Series:

Advances in Mathematics Research

Advances in Mathematics Research, 1546-2102 ; Volume 19

Language:

English

Subjects (All):

Mathematics--Research.

Mathematics.

Physical Description:

1 online resource (196 p.)

Place of Publication:

New York : Nova Publishers, 2015.

Language Note:

English

Summary:

""Advances in Mathematics Research"" presents original studies on the leading edge of mathematics. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Topics discussed include the complexities of math skills development; construction of an NP problem with an exponential lower bound; misconceptions and misunderstandings (M&M) of exploratory factor analysis; exploratory structural equation modeling; quantum information measures and molecular phase equilibria; a mathematical model and optimization of rectangular mufflers hybridiz

Contents:

ADVANCES IN MATHEMATICS RESEARCH. VOLUME 19; ADVANCES IN MATHEMATICS RESEARCH. VOLUME 19; Library of Congress Cataloging-in-Publication Data; CONTENTS; PREFACE; Chapter 1: THE COMPLEXITIES OF MATHSKILLS DEVELOPMENT; Abstract; Introduction; A Child's Introduction to Math; The Preschool Years; The Academic Years; Neuroanatomy and Math; Neurocognitive Skills and Math; Complexities of Math; Continuum of Math Learning Disorder Classifications; Conclusion; References; Chapter 2: CONSTRUCTION OF AN NP PROBLEM WITH AN EXPONENTIAL LOWER BOUND; Abstract; Introduction; The Hash Functions

Hashed Path TSP (HPTSP)HPTSP NP; HPTSP Is Not in P; Discussion; Conclusion; References; Chapter 3: MISCONCEPTIONS AND MISUNDERSTANDINGS (M&M) OF EXPLORATORY FACTOR ANALYSIS: SOME CLARIFICATIONS; Abstract; Principal Component Analysis (PCA); Exploratory Factor Analysis (EFA); Extraction Methods; Rotation Methods; Orthogonal versus Oblique Rotations; Conclusion; References; Suggested Readings; Chapter 4: EXPLORATORY STRUCTURAL EQUATION MODELING: A NEW TREND OF FACTOR ANALYSIS; Abstract; Introduction; Issues of the Confirmatory Factor Analysis Approach Structural Equation Modeling

Limitations of Exploratory Factor AnalysisExploratory Structural Equation Modeling; Conclusion; References; Appendix A; Chapter 5: QUANTUM INFORMATION MEASURES AND MOLECULAR PHASE EQUILIBRIA; Abstract; 1. Introduction; 2. Probability and Current Descriptors of Electronic States; 3. Quantum Measures of the Local Entropy/Information Content; 4. Vertical Solutions and Horizontal Phase-Equilibria; 5. Horizontal phase-Equilibria in N-Electron Systems; 6. Vertical Entropy/Information Principles; 7. Phase Descriptors of Molecular Fragments; 8. Elements of Thermodynamic-like Description; Conclusion

ReferencesChapter 6: A MATHEMATICAL MODEL AND OPTIMIZATION OF RECTANGULAR MUFFLERS HYBRIDIZED WITH ONE-CHANNEL SPLITTERS BY SA METHOD; Abstract; 1. Nomenclature; 2. Introduction; 3. Theoretical Background; 4. Case Studies; 5. Simulated Annealing Method; 6. Results and Discussion; Conclusion; Acknowledgments; Appendix A: Transfer Matrix of A One-channel Splitter Element; References; Chapter 7: WORST-CASE ANALYSIS VERSUS AVERAGE-CASE ANALYSIS FOR COMBINATORIAL OPTIMIZATION PROBLEMS; Abstract; 1. Introduction; 2. Combinatorial Optimization and Scheduling Problems

3. Reduction of the Solution Space4. The ProbabilisticModel; 5. Concluding Remarks; References; Chapter 8: MATHEMATICAL AND STATISTICAL APPLIED METHODS: STUDYING THE RELATIONSHIP BETWEEN CLIMATIC VARIABLES AND COTTON PRODUCTION; Abstract; 1. Introduction; 2. Data and Methods; 3. Results and Discussion; Conclusion; References; Chapter 9: QUANTUM CRYPTOGRAPHY WITHIN SEVERAL SEQUENTIAL ATTACKS IN BB84 PROTOCOL; Abstract; Introduction; Quantum Cryptography with Several Intercepts and Resend Attacks in Perfect Channel; Quantum Key Distribution with Several Cloning Attacks

Quantum Key Distribution with Several Intercept and Resend Attacks and Non-Orthogonally Basis Stats

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters and index.

Description based on online resource; title from PDF title page (ebrary, viewed May 16, 2015).

ISBN:

1-63482-033-9